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Searching for ## Solving and Graphing Linear Equations

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Pre-Algebra

You will solve one-step linear equations in one variable using addition, subtraction, multiplication, or division.

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After completing this tutorial, you will be able to complete the following:

- Solve one-step linear equations in one variable using addition.
- Solve one-step linear equations in one variable using subtraction.
- Solve one-step linear equations in one variable using multiplication.
- Solve one-step linear equations in one variable using division.

In order to successfully complete this Activity Object, students should be able to solve one-step equations, basic operations on integers, plot ordered pairs on a coordinate grid and be familiar with representations of linear equations. Some of the following key vocabulary words may be more of a review for the students, but very important for this Activity Object.

The following key vocabulary terms will be used throughout this Activity Object:

Coordinate plane - a plane formed by the intersection of a horizontal number line (the x-axis) and a vertical number line (the y-axis) at their zero points (the origin).

Line graph - a graph that uses line segments to show changes in data; the data usually represents a quantity changing over time.

Linear equation - an equation in the form y = mx + b, where m and b are constants. The graph of a linear equation is a straight lie.

For example,

Ordered pair - a pair of numbers used to locate a point on a coordinate plane. An ordered pair is written in the form (x, y) where x is the x-coordinate and y is the y-coordinate.

(2, 5), (7, -3), (0, 0)

x value - the first number in an ordered pair is the x value or x-coordinate. It tells how fare to move left or right from the origin along the x-axis.

For example,

In the ordered pair (2, 5), the x value is 2.

y value - the second number in an ordered pair is the y value or y-coordinate. It tells how far to move left or right from the origin along the y-axis.

Approximate Time | 25 Minutes |

Pre-requisite Concepts | Students should know the definitions of equation, linear equation, linear equation in one variable, and reciprocal. |

Course | Pre-Algebra |

Type of Tutorial | Dynamic Modeling |

Key Vocabulary | coefficient of the variable, equation, linear equation |